This article is cited in 5 papers

Antipodes and embeddings

A. Yu. Volovikov, E. V. Shchepin

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: This paper is concerned with maps without antipodal coincidence from spheres into compacta and polyhedra of a smaller dimension and to obstructions for embeddings of polyhedra and compacta in Euclidean spaces. Estimates of the dimension of the antipodal coincidence set are given for maps of spheres into compacta. The theory of the Yang homology index of spaces with involution is systematically expounded and developed in the case of a deleted square.

UDC: 515.142.226

MSC: 55M20, 54H25, 57Q35

Received: 04.12.2003

DOI: 10.4213/sm1259

 English version: Sbornik: Mathematics, 2005, 196:1, 1–28

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